A075937 List of codewords in binary lexicode with Hamming distance 7 written as decimal numbers.

0, 127, 1927, 2040, 6553, 6630, 7710, 7777, 10922, 10965, 11565, 11602, 13107, 13132, 13492, 13515, 19252, 19275, 19635, 19660, 21165, 21202, 21802, 21845, 24990, 25057, 26137, 26214, 30727, 30840, 32640, 32767, 98731, 98772, 99884

Offset: 0

Author

Bob Jenkins (bob_jenkins(AT)burtleburtle.net)

Keywords

• nonn
• base

References

• J. H. Conway and N. J. A. Sloane, Lexicographic codes: error-correcting codes from game theory, IEEE Transactions on Information Theory, 32:337-348, 1986.

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..8191
• Bob Jenkins, Tables of Binary Lexicodes
• Rémy Sigrist, C program for A075937
• Ari Trachtenberg, Error-Correcting Codes on Graphs: Lexicodes, Trellises and Factor Graphs

Crossrefs

Cf. A075928, A075929, A075930, A075938, A075939, A075940, A075931, A075943.

Programs

C

See Links section.